Fault detection of a nonlinear switching system using finite memory observers

Abstract

A straightforward approach to deal with the problem of state observation consists in using Finite Memory Observers (FMO). FMO methods are based on the observation of the dynamical system over a temporal finite-size moving window. This chapter presents a design of a fault detection strategy for nonlinear switching discrete-time systems using FMO. Using both the past input/output measurements and the model equations, state estimation is expressed as a minimization problem of a cost function. Gauss–Newton's optimization method is investigated in a diagnosis purpose. Performances of FMO observers for residual generation on hybrid systems are illustrated through numerical simulations on a benchmark two tank system.